An alternative proof of the universality of the CNN-UM and its practical applications

Giovanni Egidio Pazienza; Xavier Vilasís-Cardona; Riccardo Poli

doi:10.1109/CNNA.2008.4588646

An alternative proof of the universality of the CNN-UM and its practical applications

Giovanni Egidio Pazienza, Xavier Vilasís-Cardona, Riccardo Poli

La Salle International School of Commerce and Digital Economy

Research output: Book chapter › Conference contribution › peer-review

1 Citation (Scopus)

Abstract

In this paper we give a proof of the universality of the Cellular Neural Network - Universal Machine (CNN-UM) alternative to those presented so far. On the one hand, this allows to find a general structure for CNN-UM programs; on the other hand, it helps to formally demonstrate that machine learning techniques can be used to find CNN-UM programs automatically. Finally, we report on two experiments in which our system is able to propose new efficient solutions.

Original language	English
Title of host publication	2008 11th International Workshop on Cellular Neural Networks and their Applications, CNNA 2008, Cellular Nano-scale Architectures
Pages	34-39
Number of pages	6
DOIs	https://doi.org/10.1109/CNNA.2008.4588646
Publication status	Published - 2008
Event	2008 11th International Workshop on Cellular Neural Networks and their Applications, CNNA 2008, Cellular Nano-scale Architectures - Santiago de Compostela, Spain Duration: 14 Jul 2008 → 16 Jul 2008

Publication series

Name	Proceedings of the IEEE International Workshop on Cellular Neural Networks and their Applications

Conference

Conference	2008 11th International Workshop on Cellular Neural Networks and their Applications, CNNA 2008, Cellular Nano-scale Architectures
Country/Territory	Spain
City	Santiago de Compostela
Period	14/07/08 → 16/07/08

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10.1109/CNNA.2008.4588646

Cite this

Pazienza, G. E., Vilasís-Cardona, X., & Poli, R. (2008). An alternative proof of the universality of the CNN-UM and its practical applications. In 2008 11th International Workshop on Cellular Neural Networks and their Applications, CNNA 2008, Cellular Nano-scale Architectures (pp. 34-39). Article 4588646 (Proceedings of the IEEE International Workshop on Cellular Neural Networks and their Applications). https://doi.org/10.1109/CNNA.2008.4588646

Pazienza, Giovanni Egidio ; Vilasís-Cardona, Xavier ; Poli, Riccardo. / An alternative proof of the universality of the CNN-UM and its practical applications. 2008 11th International Workshop on Cellular Neural Networks and their Applications, CNNA 2008, Cellular Nano-scale Architectures. 2008. pp. 34-39 (Proceedings of the IEEE International Workshop on Cellular Neural Networks and their Applications).

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title = "An alternative proof of the universality of the CNN-UM and its practical applications",

abstract = "In this paper we give a proof of the universality of the Cellular Neural Network - Universal Machine (CNN-UM) alternative to those presented so far. On the one hand, this allows to find a general structure for CNN-UM programs; on the other hand, it helps to formally demonstrate that machine learning techniques can be used to find CNN-UM programs automatically. Finally, we report on two experiments in which our system is able to propose new efficient solutions.",

author = "Pazienza, {Giovanni Egidio} and Xavier Vilas{\'i}s-Cardona and Riccardo Poli",

year = "2008",

doi = "10.1109/CNNA.2008.4588646",

language = "English",

isbn = "9781424420902",

series = "Proceedings of the IEEE International Workshop on Cellular Neural Networks and their Applications",

pages = "34--39",

booktitle = "2008 11th International Workshop on Cellular Neural Networks and their Applications, CNNA 2008, Cellular Nano-scale Architectures",

note = "2008 11th International Workshop on Cellular Neural Networks and their Applications, CNNA 2008, Cellular Nano-scale Architectures ; Conference date: 14-07-2008 Through 16-07-2008",

}

Pazienza, GE, Vilasís-Cardona, X & Poli, R 2008, An alternative proof of the universality of the CNN-UM and its practical applications. in 2008 11th International Workshop on Cellular Neural Networks and their Applications, CNNA 2008, Cellular Nano-scale Architectures., 4588646, Proceedings of the IEEE International Workshop on Cellular Neural Networks and their Applications, pp. 34-39, 2008 11th International Workshop on Cellular Neural Networks and their Applications, CNNA 2008, Cellular Nano-scale Architectures, Santiago de Compostela, Spain, 14/07/08. https://doi.org/10.1109/CNNA.2008.4588646

An alternative proof of the universality of the CNN-UM and its practical applications. / Pazienza, Giovanni Egidio; Vilasís-Cardona, Xavier; Poli, Riccardo.
2008 11th International Workshop on Cellular Neural Networks and their Applications, CNNA 2008, Cellular Nano-scale Architectures. 2008. p. 34-39 4588646 (Proceedings of the IEEE International Workshop on Cellular Neural Networks and their Applications).

Research output: Book chapter › Conference contribution › peer-review

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AB - In this paper we give a proof of the universality of the Cellular Neural Network - Universal Machine (CNN-UM) alternative to those presented so far. On the one hand, this allows to find a general structure for CNN-UM programs; on the other hand, it helps to formally demonstrate that machine learning techniques can be used to find CNN-UM programs automatically. Finally, we report on two experiments in which our system is able to propose new efficient solutions.

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Pazienza GE, Vilasís-Cardona X, Poli R. An alternative proof of the universality of the CNN-UM and its practical applications. In 2008 11th International Workshop on Cellular Neural Networks and their Applications, CNNA 2008, Cellular Nano-scale Architectures. 2008. p. 34-39. 4588646. (Proceedings of the IEEE International Workshop on Cellular Neural Networks and their Applications). doi: 10.1109/CNNA.2008.4588646

An alternative proof of the universality of the CNN-UM and its practical applications

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